Question

Given that a certain galvanometer has an internal resistance of 254 Ω and can handle a maximum current of 250 μA, design an ammeter capable of reading at full-scale deflection (the maximum current without burning up the meter) 10 A and a voltmeter capable of reading at full-scale deflection 10 V. Assume that the space available in the meter for the shunt (for the ammeter) or limiting (for the voltmeter) resistor is no more than 5 mm in length and πmm^2 in cross-sectional area. State specifically what material and dimensions you are using for the both resistors. Your shunt and limiting resistors chosen must be within ±5% of your calculated values

Answer 1

2 = No. of ett hand ammeter i'm TOA Rsh/ Vm in = 9500A. Rm = 25th step): isha Applying ko at junction) 10-250MA 16 - (650x106) step2 ish a 9.99975A Von = Lim (im) (230x106) (954) Vm 0-0635V steps: Vm Rsh 0.0635 9.99975 Risha 0.00635n + sl. of calculated Values stepy: Rsh - 0.0063545/(0.00635) 0.00635 +0.000317 Rsh 0.006661, 0.006032 shunt resistance.

Call steps Rsh & lant Given la som A = 1 mm A - 3.14mm D.00 635XA Sunter lsh 2) Ish 0.66635x3.14 (for Rectivity of shunt material esha 0.00398 m 10 mt domt romt 3.988 10 x103 3.98 x 1061 material whose resistrity 82BX 3.98 xjö 6camat Type of hearly fonc(free) copper analysi Voltmeter (for lov) Rs steps: im Rm lov = (20 X 106) (ash) Rm 0.0635V step2 loop) V = 10-vm (KVL in V = 10-0.0635 TVs = 9.9365 v

steps: Rs = 9.9365 im 2.50x106 Rs = 39746d limiting Resistor stepys RSA & 39746 X 3.14 5 103ml comiting Resistivity value 24960.488 mm oma po 24960-488 (2-103mt) 24.960 am es volue The restanity Type of material whose restrity values lies in the is silicon given range i lahti steps RSD 39746 +(sl. of 39745) 39746 + 198703 ana RS 37758.1 to $1733-34 alts